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Finding the Fourth Proportional to 97,661.28, 146,341.14 and 65,947.05

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Solution

The fourth proportional to 97,661.28, 146,341.14 and 65,947.05 is: 98,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,661.28 : 146,341.14 = 65,947.05 : x
  2. Step 2: Convert to fraction form
    97,661.28/146,341.14 = 65,947.05/x
  3. Step 3: Cross multiply
    97,661.28x = 146,341.14 × 65,947.05
  4. Step 4: Simplify right side
    97,661.28x = 9,650,766,476.64
  5. Step 5: Solve for x
    x = 9,650,766,476.64/97,661.28
  6. Step 6: Final answer
    x = 98,818.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.